What is the solution for (dy)/(dx)+(4/x)y=4x+9 ?

The solution for (dy)/(dx)+(4/x)y=4x+9 is y=(2x^2)/3+(9x)/5+(c_{1})/(x^4)

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(dy)/(dx)+(4/x)y=4x+9

\frac{d y}{d x} + (\frac{4}{x}) y = 4 x + 9

y = \frac{2 x ^{2}}{3} + \frac{9 x}{5} + \frac{c _{1}}{x ^{4}}

Solution steps

\frac{d y}{d x} + (\frac{4}{x}) y = 4 x + 9

Solve linear ODE:

y = \frac{2 x ^{2}}{3} + \frac{9 x}{5} + \frac{c _{1}}{x ^{4}}

y = \frac{2 x ^{2}}{3} + \frac{9 x}{5} + \frac{c _{1}}{x ^{4}}

l a pl a ce t r an s f or m 2 e^{4 t}

t an g e n t x^{4}

\int 2 x e^{2 x} d x

\int_{1}^{2} \frac{x ^{5} + 5 x ^{8}}{x ^{4}} d x

\frac{d}{d x} (x^{\frac{1}{3}} + 2 x)

What is the solution for (dy)/(dx)+(4/x)y=4x+9 ?
The solution for (dy)/(dx)+(4/x)y=4x+9 is y=(2x^2)/3+(9x)/5+(c_{1})/(x^4)